The core in differential games on networks with communication restrictions

被引：0
|
作者：
Tur, Anna V. [1 ]
机构：
[1] St Petersburg State Univ, 7-9 Univ Skaya nab, St Petersburg 199034, Russia
来源：
VESTNIK SANKT-PETERBURGSKOGO UNIVERSITETA SERIYA 10 PRIKLADNAYA MATEMATIKA INFORMATIKA PROTSESSY UPRAVLENIYA | 2023年 / 19卷 / 04期
基金：
俄罗斯科学基金会;
关键词：
differential game; network game; cooperative game; core; the Shapley value;
D O I：
10.21638/11701/spbu10.2023.406
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we consider a class of differential games on networks. It is assumed that the players are identified with the nodes of the network and their interaction takes place along the paths of this network. A characteristic function of a special kind is used, which takes into account the network structure of the game. The C -core is studied as a cooperative optimality principle. An illustrative example is considered.
引用
收藏
页码：497 / 508
页数：12
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